{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stochastic Volatility model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:00.131926Z",
     "start_time": "2020-06-18T12:30:00.129700Z"
    }
   },
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:01.432262Z",
     "start_time": "2020-06-18T12:30:00.133077Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import FuncFormatter\n",
    "import seaborn as sns\n",
    "\n",
    "import pymc3 as pm\n",
    "from pymc3.distributions.timeseries import GaussianRandomWalk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:01.435367Z",
     "start_time": "2020-06-18T12:30:01.433400Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style('whitegrid')\n",
    "# model_path = Path('models')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Model assumptions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Asset prices have time-varying volatility (variance of day over day `returns`). In some periods, returns are highly variable, while in others very stable. Stochastic volatility models model this with a latent volatility variable, modeled as a stochastic process. The following model is similar to the one described in the No-U-Turn Sampler paper, Hoffman (2011) p21.\n",
    "\n",
    "$$\\begin{align*} \n",
    "\\sigma &\\sim \\text{Exponential}(50)\\\\\n",
    "\\nu &\\sim \\text{Exponential}(.1)\\\\\n",
    "s_i &\\sim \\text{Normal}(s_{i-1}, \\sigma^{-2})\\\\\n",
    "\\log(r_i) &\\sim t(\\nu, 0, \\exp(-2 s_i))\n",
    "\\end{align*}$$\n",
    "\n",
    "Here, $r$ is the daily return series and $s$ is the latent log volatility process."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Get Return Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we load some daily returns of the S&P 500."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:01.521877Z",
     "start_time": "2020-06-18T12:30:01.436435Z"
    }
   },
   "outputs": [],
   "source": [
    "prices = pd.read_hdf('../data/assets.h5', key='sp500/stooq').loc['2000':, 'close']\n",
    "log_returns = np.log(prices).diff().dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:01.712228Z",
     "start_time": "2020-06-18T12:30:01.523139Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = log_returns.plot(figsize=(15, 4),\n",
    "                      title='S&P 500 | Daily Log Returns',\n",
    "                      rot=0)\n",
    "ax.yaxis.set_major_formatter(FuncFormatter(lambda y, _: '{:.0%}'.format(y)))\n",
    "sns.despine()\n",
    "plt.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, the volatility seems to change over time quite a bit while clustering around certain time-periods, most notably the 2009 financial crash."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Specify Model in PyMC3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Specifying the model in `PyMC3` mirrors its statistical specification. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:03.296779Z",
     "start_time": "2020-06-18T12:30:01.713585Z"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as model:\n",
    "    step_size = pm.Exponential('sigma', 50.)\n",
    "    s = GaussianRandomWalk('s', sd=step_size, \n",
    "                           shape=len(log_returns))\n",
    "    nu = pm.Exponential('nu', .1)\n",
    "    r = pm.StudentT('r', nu=nu, \n",
    "                    lam=pm.math.exp(-2*s), \n",
    "                    observed=log_returns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:03.331241Z",
     "start_time": "2020-06-18T12:30:03.297855Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.42.3 (20191010.1750)\n",
       " -->\n",
       "<!-- Title: %3 Pages: 1 -->\n",
       "<svg width=\"360pt\" height=\"344pt\"\n",
       " viewBox=\"0.00 0.00 359.98 343.86\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 339.86)\">\n",
       "<title>%3</title>\n",
       "<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-339.86 355.98,-339.86 355.98,4 -4,4\"/>\n",
       "<g id=\"clust1\" class=\"cluster\">\n",
       "<title>cluster5,030</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M137.98,-8C137.98,-8 331.98,-8 331.98,-8 337.98,-8 343.98,-14 343.98,-20 343.98,-20 343.98,-220.91 343.98,-220.91 343.98,-226.91 337.98,-232.91 331.98,-232.91 331.98,-232.91 137.98,-232.91 137.98,-232.91 131.98,-232.91 125.98,-226.91 125.98,-220.91 125.98,-220.91 125.98,-20 125.98,-20 125.98,-14 131.98,-8 137.98,-8\"/>\n",
       "<text text-anchor=\"middle\" x=\"320.48\" y=\"-15.8\" font-family=\"Times,serif\" font-size=\"14.00\">5,030</text>\n",
       "</g>\n",
       "<!-- nu -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>nu</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"57.98\" cy=\"-187.43\" rx=\"57.97\" ry=\"37.45\"/>\n",
       "<text text-anchor=\"middle\" x=\"57.98\" y=\"-198.73\" font-family=\"Times,serif\" font-size=\"14.00\">nu</text>\n",
       "<text text-anchor=\"middle\" x=\"57.98\" y=\"-183.73\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
       "<text text-anchor=\"middle\" x=\"57.98\" y=\"-168.73\" font-family=\"Times,serif\" font-size=\"14.00\">Exponential</text>\n",
       "</g>\n",
       "<!-- r -->\n",
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       "<title>r</title>\n",
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       "<text text-anchor=\"middle\" x=\"207.98\" y=\"-87.78\" font-family=\"Times,serif\" font-size=\"14.00\">r</text>\n",
       "<text text-anchor=\"middle\" x=\"207.98\" y=\"-72.78\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
       "<text text-anchor=\"middle\" x=\"207.98\" y=\"-57.78\" font-family=\"Times,serif\" font-size=\"14.00\">StudentT</text>\n",
       "</g>\n",
       "<!-- nu&#45;&gt;r -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>nu&#45;&gt;r</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M95.83,-158.94C117.15,-143.45 143.83,-124.08 165.81,-108.11\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"167.95,-110.88 173.99,-102.17 163.84,-105.22 167.95,-110.88\"/>\n",
       "</g>\n",
       "<!-- sigma -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>sigma</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"234.98\" cy=\"-298.38\" rx=\"57.97\" ry=\"37.45\"/>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-309.68\" font-family=\"Times,serif\" font-size=\"14.00\">sigma</text>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-294.68\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-279.68\" font-family=\"Times,serif\" font-size=\"14.00\">Exponential</text>\n",
       "</g>\n",
       "<!-- s -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>s</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"234.98\" cy=\"-187.43\" rx=\"101.23\" ry=\"37.45\"/>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-198.73\" font-family=\"Times,serif\" font-size=\"14.00\">s</text>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-183.73\" font-family=\"Times,serif\" font-size=\"14.00\">~</text>\n",
       "<text text-anchor=\"middle\" x=\"234.98\" y=\"-168.73\" font-family=\"Times,serif\" font-size=\"14.00\">GaussianRandomWalk</text>\n",
       "</g>\n",
       "<!-- sigma&#45;&gt;s -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>sigma&#45;&gt;s</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M234.98,-260.8C234.98,-252.63 234.98,-243.85 234.98,-235.32\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"238.48,-235.1 234.98,-225.1 231.48,-235.1 238.48,-235.1\"/>\n",
       "</g>\n",
       "<!-- s&#45;&gt;r -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>s&#45;&gt;r</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M225.92,-149.85C223.8,-141.31 221.52,-132.12 219.32,-123.24\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"222.69,-122.27 216.89,-113.41 215.9,-123.96 222.69,-122.27\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.dot.Digraph at 0x7f395f6a81d0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.model_to_graphviz(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fit Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For this model, the full maximum a posteriori (MAP) point is degenerate and has infinite density. NUTS, however, gives the correct posterior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:50:56.725983Z",
     "start_time": "2020-06-18T13:02:30.858658Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Sequential sampling (4 chains in 1 job)\n",
      "NUTS: [nu, s, sigma]\n"
     ]
    },
    {
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       "        <style>\n",
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       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='7000' class='' max='7000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [7000/7000 27:27<00:00 Sampling chain 0, 0 divergences]\n",
       "    </div>\n",
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       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
       "            }\n",
       "        </style>\n",
       "      <progress value='7000' class='' max='7000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [7000/7000 27:40<00:00 Sampling chain 1, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "                background: #F44336;\n",
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       "        </style>\n",
       "      <progress value='7000' class='' max='7000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [7000/7000 25:58<00:00 Sampling chain 2, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
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     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "        <style>\n",
       "            /* Turns off some styling */\n",
       "            progress {\n",
       "                /* gets rid of default border in Firefox and Opera. */\n",
       "                border: none;\n",
       "                /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "                background-size: auto;\n",
       "            }\n",
       "            .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
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       "      <progress value='7000' class='' max='7000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [7000/7000 26:29<00:00 Sampling chain 3, 0 divergences]\n",
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     "metadata": {},
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    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 2_000 tune and 5_000 draw iterations (8_000 + 20_000 draws total) took 6456 seconds.\n",
      "The estimated number of effective samples is smaller than 200 for some parameters.\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    trace = pm.sample(tune=2000, \n",
    "                      draws=5000,\n",
    "                      chains=4,\n",
    "                      cores=1,\n",
    "                      target_accept=.9)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Optionally, persist result as pickle:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T12:30:04.052535Z",
     "start_time": "2020-06-18T12:30:00.144Z"
    }
   },
   "outputs": [],
   "source": [
    "# with open('model_vol.pkl', 'wb') as buff:\n",
    "#     pickle.dump({'model': model, 'trace': trace}, buff)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Evaluate results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Trace Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:54:38.168800Z",
     "start_time": "2020-06-18T14:54:26.265430Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(trace, varnames=['sigma', 'nu']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looking at the returns over time and overlaying the estimated standard deviation we can see how the model tracks the volatility over time."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### In-Sample Predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:54:38.981969Z",
     "start_time": "2020-06-18T14:54:38.169848Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 20000 entries, 0 to 19999\n",
      "Columns: 5032 entries, s__0 to nu\n",
      "dtypes: float64(5032)\n",
      "memory usage: 767.8 MB\n"
     ]
    }
   ],
   "source": [
    "pm.trace_to_dataframe(trace).info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T14:56:09.440841Z",
     "start_time": "2020-06-18T14:54:38.983356Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(15, 5))\n",
    "\n",
    "log_returns.plot(ax=ax, lw=.5, xlim=('2000', '2020'), rot=0, \n",
    "             title='In-Sample Fit of Stochastic Volatility Model')\n",
    "\n",
    "ax.plot(log_returns.index, np.exp(trace[s]).T, 'r', alpha=.03, lw=.5);\n",
    "\n",
    "ax.set(xlabel='Time', ylabel='Returns')\n",
    "ax.legend(['S&P 500 (log returns)', 'Stochastic Volatility Model'])\n",
    "ax.yaxis.set_major_formatter(FuncFormatter(lambda y, _: '{:.0%}'.format(y))) \n",
    "sns.despine()\n",
    "fig.tight_layout();"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
